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Finding the Fourth Proportional to 102,306, 153,459 and 28,434

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Solution

The fourth proportional to 102,306, 153,459 and 28,434 is: 42,651

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,306 : 153,459 = 28,434 : x
  2. Step 2: Convert to fraction form
    102,306/153,459 = 28,434/x
  3. Step 3: Cross multiply
    102,306x = 153,459 × 28,434
  4. Step 4: Simplify right side
    102,306x = 4,363,453,206
  5. Step 5: Solve for x
    x = 4,363,453,206/102,306
  6. Step 6: Final answer
    x = 42,651

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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.