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Finding the Fourth Proportional to 103,635.57, 155,455.98 and 77,506.17

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Solution

The fourth proportional to 103,635.57, 155,455.98 and 77,506.17 is: 116,261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,635.57 : 155,455.98 = 77,506.17 : x
  2. Step 2: Convert to fraction form
    103,635.57/155,455.98 = 77,506.17/x
  3. Step 3: Cross multiply
    103,635.57x = 155,455.98 × 77,506.17
  4. Step 4: Simplify right side
    103,635.57x = 12,048,797,613.40
  5. Step 5: Solve for x
    x = 12,048,797,613.40/103,635.57
  6. Step 6: Final answer
    x = 116,261.22

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1.5x scale

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.