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Finding the Fourth Proportional to 137,254.66, 205,898.60 and 48,490

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Solution

The fourth proportional to 137,254.66, 205,898.60 and 48,490 is: 72,740.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,254.66 : 205,898.60 = 48,490 : x
  2. Step 2: Convert to fraction form
    137,254.66/205,898.60 = 48,490/x
  3. Step 3: Cross multiply
    137,254.66x = 205,898.60 × 48,490
  4. Step 4: Simplify right side
    137,254.66x = 9,984,023,114
  5. Step 5: Solve for x
    x = 9,984,023,114/137,254.66
  6. Step 6: Final answer
    x = 72,740.87

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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.