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Finding the Fourth Proportional to 133,980.19, 200,707.52 and 77,702.06

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Solution

The fourth proportional to 133,980.19, 200,707.52 and 77,702.06 is: 116,400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,980.19 : 200,707.52 = 77,702.06 : x
  2. Step 2: Convert to fraction form
    133,980.19/200,707.52 = 77,702.06/x
  3. Step 3: Cross multiply
    133,980.19x = 200,707.52 × 77,702.06
  4. Step 4: Simplify right side
    133,980.19x = 15,595,387,761.49
  5. Step 5: Solve for x
    x = 15,595,387,761.49/133,980.19
  6. Step 6: Final answer
    x = 116,400.70

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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.