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Finding the Fourth Proportional to 70,272.16, 96,998.16 and 46,420

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Solution

The fourth proportional to 70,272.16, 96,998.16 and 46,420 is: 64,074.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,272.16 : 96,998.16 = 46,420 : x
  2. Step 2: Convert to fraction form
    70,272.16/96,998.16 = 46,420/x
  3. Step 3: Cross multiply
    70,272.16x = 96,998.16 × 46,420
  4. Step 4: Simplify right side
    70,272.16x = 4,502,654,587.20
  5. Step 5: Solve for x
    x = 4,502,654,587.20/70,272.16
  6. Step 6: Final answer
    x = 64,074.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.