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Finding the Fourth Proportional to 102,648.90, 153,772.47 and 91,503.30

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Solution

The fourth proportional to 102,648.90, 153,772.47 and 91,503.30 is: 137,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,648.90 : 153,772.47 = 91,503.30 : x
  2. Step 2: Convert to fraction form
    102,648.90/153,772.47 = 91,503.30/x
  3. Step 3: Cross multiply
    102,648.90x = 153,772.47 × 91,503.30
  4. Step 4: Simplify right side
    102,648.90x = 14,070,688,454.15
  5. Step 5: Solve for x
    x = 14,070,688,454.15/102,648.90
  6. Step 6: Final answer
    x = 137,075.88

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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.