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Finding the Fourth Proportional to 153,316, 229,974 and 42,508

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Solution

The fourth proportional to 153,316, 229,974 and 42,508 is: 63,762

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,316 : 229,974 = 42,508 : x
  2. Step 2: Convert to fraction form
    153,316/229,974 = 42,508/x
  3. Step 3: Cross multiply
    153,316x = 229,974 × 42,508
  4. Step 4: Simplify right side
    153,316x = 9,775,734,792
  5. Step 5: Solve for x
    x = 9,775,734,792/153,316
  6. Step 6: Final answer
    x = 63,762

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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.