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Finding the Fourth Proportional to 102,470, 153,621.56 and 68,770.76

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Solution

The fourth proportional to 102,470, 153,621.56 and 68,770.76 is: 103,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,470 : 153,621.56 = 68,770.76 : x
  2. Step 2: Convert to fraction form
    102,470/153,621.56 = 68,770.76/x
  3. Step 3: Cross multiply
    102,470x = 153,621.56 × 68,770.76
  4. Step 4: Simplify right side
    102,470x = 10,564,671,433.59
  5. Step 5: Solve for x
    x = 10,564,671,433.59/102,470
  6. Step 6: Final answer
    x = 103,100.14

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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.