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Finding the Fourth Proportional to 74,154.84, 102,341.01 and 42,328.52

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Solution

The fourth proportional to 74,154.84, 102,341.01 and 42,328.52 is: 58,417.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,154.84 : 102,341.01 = 42,328.52 : x
  2. Step 2: Convert to fraction form
    74,154.84/102,341.01 = 42,328.52/x
  3. Step 3: Cross multiply
    74,154.84x = 102,341.01 × 42,328.52
  4. Step 4: Simplify right side
    74,154.84x = 4,331,943,488.61
  5. Step 5: Solve for x
    x = 4,331,943,488.61/74,154.84
  6. Step 6: Final answer
    x = 58,417.54

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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.