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Finding the Fourth Proportional to 66,415,827.20, 99,642,403.20 and 32,338,284.80

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Solution

The fourth proportional to 66,415,827.20, 99,642,403.20 and 32,338,284.80 is: 48,516,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,415,827.20 : 99,642,403.20 = 32,338,284.80 : x
  2. Step 2: Convert to fraction form
    66,415,827.20/99,642,403.20 = 32,338,284.80/x
  3. Step 3: Cross multiply
    66,415,827.20x = 99,642,403.20 × 32,338,284.80
  4. Step 4: Simplify right side
    66,415,827.20x = 3,222,264,412,838,031.50
  5. Step 5: Solve for x
    x = 3,222,264,412,838,031.50/66,415,827.20
  6. Step 6: Final answer
    x = 48,516,514.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.