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Finding the Fourth Proportional to 155,160, 232,753.50 and 42,840.36

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Solution

The fourth proportional to 155,160, 232,753.50 and 42,840.36 is: 64,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,160 : 232,753.50 = 42,840.36 : x
  2. Step 2: Convert to fraction form
    155,160/232,753.50 = 42,840.36/x
  3. Step 3: Cross multiply
    155,160x = 232,753.50 × 42,840.36
  4. Step 4: Simplify right side
    155,160x = 9,971,243,731.26
  5. Step 5: Solve for x
    x = 9,971,243,731.26/155,160
  6. Step 6: Final answer
    x = 64,264.27

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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.