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Finding the Fourth Proportional to 75,130.34, 112,726.76 and 32,988.60

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Solution

The fourth proportional to 75,130.34, 112,726.76 and 32,988.60 is: 49,496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,130.34 : 112,726.76 = 32,988.60 : x
  2. Step 2: Convert to fraction form
    75,130.34/112,726.76 = 32,988.60/x
  3. Step 3: Cross multiply
    75,130.34x = 112,726.76 × 32,988.60
  4. Step 4: Simplify right side
    75,130.34x = 3,718,697,829.99
  5. Step 5: Solve for x
    x = 3,718,697,829.99/75,130.34
  6. Step 6: Final answer
    x = 49,496.62

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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.