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Finding the Fourth Proportional to 142,915.65, 214,328.52 and 51,719.28

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Solution

The fourth proportional to 142,915.65, 214,328.52 and 51,719.28 is: 77,562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,915.65 : 214,328.52 = 51,719.28 : x
  2. Step 2: Convert to fraction form
    142,915.65/214,328.52 = 51,719.28/x
  3. Step 3: Cross multiply
    142,915.65x = 214,328.52 × 51,719.28
  4. Step 4: Simplify right side
    142,915.65x = 11,084,916,737.87
  5. Step 5: Solve for x
    x = 11,084,916,737.87/142,915.65
  6. Step 6: Final answer
    x = 77,562.65

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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.