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Finding the Fourth Proportional to 98,472.72, 147,709.08 and 78,658.50

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Solution

The fourth proportional to 98,472.72, 147,709.08 and 78,658.50 is: 117,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,472.72 : 147,709.08 = 78,658.50 : x
  2. Step 2: Convert to fraction form
    98,472.72/147,709.08 = 78,658.50/x
  3. Step 3: Cross multiply
    98,472.72x = 147,709.08 × 78,658.50
  4. Step 4: Simplify right side
    98,472.72x = 11,618,574,669.18
  5. Step 5: Solve for x
    x = 11,618,574,669.18/98,472.72
  6. Step 6: Final answer
    x = 117,987.75

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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.