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Finding the Fourth Proportional to 153,314, 229,971 and 42,506

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Solution

The fourth proportional to 153,314, 229,971 and 42,506 is: 63,759

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,314 : 229,971 = 42,506 : x
  2. Step 2: Convert to fraction form
    153,314/229,971 = 42,506/x
  3. Step 3: Cross multiply
    153,314x = 229,971 × 42,506
  4. Step 4: Simplify right side
    153,314x = 9,775,147,326
  5. Step 5: Solve for x
    x = 9,775,147,326/153,314
  6. Step 6: Final answer
    x = 63,759

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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.