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Finding the Fourth Proportional to 153,052.97, 229,603.12 and 78,132.47

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Solution

The fourth proportional to 153,052.97, 229,603.12 and 78,132.47 is: 117,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,052.97 : 229,603.12 = 78,132.47 : x
  2. Step 2: Convert to fraction form
    153,052.97/229,603.12 = 78,132.47/x
  3. Step 3: Cross multiply
    153,052.97x = 229,603.12 × 78,132.47
  4. Step 4: Simplify right side
    153,052.97x = 17,939,457,541.96
  5. Step 5: Solve for x
    x = 17,939,457,541.96/153,052.97
  6. Step 6: Final answer
    x = 117,210.78

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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.