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Finding the Fourth Proportional to 100,458.81, 138,580.29 and 76,543.95

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Solution

The fourth proportional to 100,458.81, 138,580.29 and 76,543.95 is: 105,590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,458.81 : 138,580.29 = 76,543.95 : x
  2. Step 2: Convert to fraction form
    100,458.81/138,580.29 = 76,543.95/x
  3. Step 3: Cross multiply
    100,458.81x = 138,580.29 × 76,543.95
  4. Step 4: Simplify right side
    100,458.81x = 10,607,482,788.75
  5. Step 5: Solve for x
    x = 10,607,482,788.75/100,458.81
  6. Step 6: Final answer
    x = 105,590.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.