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Finding the Fourth Proportional to 66,312, 99,468 and 19,564.20

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Solution

The fourth proportional to 66,312, 99,468 and 19,564.20 is: 29,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,312 : 99,468 = 19,564.20 : x
  2. Step 2: Convert to fraction form
    66,312/99,468 = 19,564.20/x
  3. Step 3: Cross multiply
    66,312x = 99,468 × 19,564.20
  4. Step 4: Simplify right side
    66,312x = 1,946,011,845.60
  5. Step 5: Solve for x
    x = 1,946,011,845.60/66,312
  6. Step 6: Final answer
    x = 29,346.30

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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.