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Finding the Fourth Proportional to 86,160, 129,232.53 and 29,985.60

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Solution

The fourth proportional to 86,160, 129,232.53 and 29,985.60 is: 44,975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,160 : 129,232.53 = 29,985.60 : x
  2. Step 2: Convert to fraction form
    86,160/129,232.53 = 29,985.60/x
  3. Step 3: Cross multiply
    86,160x = 129,232.53 × 29,985.60
  4. Step 4: Simplify right side
    86,160x = 3,875,114,951.57
  5. Step 5: Solve for x
    x = 3,875,114,951.57/86,160
  6. Step 6: Final answer
    x = 44,975.80

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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.