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Finding the Fourth Proportional to 109,488.80, 164,038.80 and 102,490.40

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Solution

The fourth proportional to 109,488.80, 164,038.80 and 102,490.40 is: 153,553.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,488.80 : 164,038.80 = 102,490.40 : x
  2. Step 2: Convert to fraction form
    109,488.80/164,038.80 = 102,490.40/x
  3. Step 3: Cross multiply
    109,488.80x = 164,038.80 × 102,490.40
  4. Step 4: Simplify right side
    109,488.80x = 16,812,402,227.52
  5. Step 5: Solve for x
    x = 16,812,402,227.52/109,488.80
  6. Step 6: Final answer
    x = 153,553.63

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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.