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Finding the Fourth Proportional to 66,522, 99,802.80 and 38,435.16

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Solution

The fourth proportional to 66,522, 99,802.80 and 38,435.16 is: 57,664.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,522 : 99,802.80 = 38,435.16 : x
  2. Step 2: Convert to fraction form
    66,522/99,802.80 = 38,435.16/x
  3. Step 3: Cross multiply
    66,522x = 99,802.80 × 38,435.16
  4. Step 4: Simplify right side
    66,522x = 3,835,936,586.45
  5. Step 5: Solve for x
    x = 3,835,936,586.45/66,522
  6. Step 6: Final answer
    x = 57,664.18

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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.