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Finding the Fourth Proportional to 123,868.80, 185,829.12 and 40,752

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Solution

The fourth proportional to 123,868.80, 185,829.12 and 40,752 is: 61,136.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,868.80 : 185,829.12 = 40,752 : x
  2. Step 2: Convert to fraction form
    123,868.80/185,829.12 = 40,752/x
  3. Step 3: Cross multiply
    123,868.80x = 185,829.12 × 40,752
  4. Step 4: Simplify right side
    123,868.80x = 7,572,908,298.24
  5. Step 5: Solve for x
    x = 7,572,908,298.24/123,868.80
  6. Step 6: Final answer
    x = 61,136.53

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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.