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Finding the Fourth Proportional to 102,951.90, 153,742.71 and 101,838.59

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Solution

The fourth proportional to 102,951.90, 153,742.71 and 101,838.59 is: 152,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,951.90 : 153,742.71 = 101,838.59 : x
  2. Step 2: Convert to fraction form
    102,951.90/153,742.71 = 101,838.59/x
  3. Step 3: Cross multiply
    102,951.90x = 153,742.71 × 101,838.59
  4. Step 4: Simplify right side
    102,951.90x = 15,656,940,040.47
  5. Step 5: Solve for x
    x = 15,656,940,040.47/102,951.90
  6. Step 6: Final answer
    x = 152,080.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.