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Finding the Fourth Proportional to 98,737.40, 148,040.46 and 54,385

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Solution

The fourth proportional to 98,737.40, 148,040.46 and 54,385 is: 81,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,737.40 : 148,040.46 = 54,385 : x
  2. Step 2: Convert to fraction form
    98,737.40/148,040.46 = 54,385/x
  3. Step 3: Cross multiply
    98,737.40x = 148,040.46 × 54,385
  4. Step 4: Simplify right side
    98,737.40x = 8,051,180,417.10
  5. Step 5: Solve for x
    x = 8,051,180,417.10/98,737.40
  6. Step 6: Final answer
    x = 81,541.35

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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.