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Finding the Fourth Proportional to 153,937.60, 230,938.80 and 65,145.40

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Solution

The fourth proportional to 153,937.60, 230,938.80 and 65,145.40 is: 97,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,937.60 : 230,938.80 = 65,145.40 : x
  2. Step 2: Convert to fraction form
    153,937.60/230,938.80 = 65,145.40/x
  3. Step 3: Cross multiply
    153,937.60x = 230,938.80 × 65,145.40
  4. Step 4: Simplify right side
    153,937.60x = 15,044,600,501.52
  5. Step 5: Solve for x
    x = 15,044,600,501.52/153,937.60
  6. Step 6: Final answer
    x = 97,731.81

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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.