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Finding the Fourth Proportional to 121,374.78, 182,088.18 and 42,491.58

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Solution

The fourth proportional to 121,374.78, 182,088.18 and 42,491.58 is: 63,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,374.78 : 182,088.18 = 42,491.58 : x
  2. Step 2: Convert to fraction form
    121,374.78/182,088.18 = 42,491.58/x
  3. Step 3: Cross multiply
    121,374.78x = 182,088.18 × 42,491.58
  4. Step 4: Simplify right side
    121,374.78x = 7,737,214,467.52
  5. Step 5: Solve for x
    x = 7,737,214,467.52/121,374.78
  6. Step 6: Final answer
    x = 63,746.48

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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.