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Finding the Fourth Proportional to 97,187.20, 145,780.80 and 65,694.40

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Solution

The fourth proportional to 97,187.20, 145,780.80 and 65,694.40 is: 98,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,187.20 : 145,780.80 = 65,694.40 : x
  2. Step 2: Convert to fraction form
    97,187.20/145,780.80 = 65,694.40/x
  3. Step 3: Cross multiply
    97,187.20x = 145,780.80 × 65,694.40
  4. Step 4: Simplify right side
    97,187.20x = 9,576,982,187.52
  5. Step 5: Solve for x
    x = 9,576,982,187.52/97,187.20
  6. Step 6: Final answer
    x = 98,541.60

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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.