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Finding the Fourth Proportional to 75,564.68, 104,278.98 and 42,030.68

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Solution

The fourth proportional to 75,564.68, 104,278.98 and 42,030.68 is: 58,002.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,564.68 : 104,278.98 = 42,030.68 : x
  2. Step 2: Convert to fraction form
    75,564.68/104,278.98 = 42,030.68/x
  3. Step 3: Cross multiply
    75,564.68x = 104,278.98 × 42,030.68
  4. Step 4: Simplify right side
    75,564.68x = 4,382,916,439.11
  5. Step 5: Solve for x
    x = 4,382,916,439.11/75,564.68
  6. Step 6: Final answer
    x = 58,002.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.