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Finding the Fourth Proportional to 102,003.90, 153,005.85 and 101,420.70

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Solution

The fourth proportional to 102,003.90, 153,005.85 and 101,420.70 is: 152,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,003.90 : 153,005.85 = 101,420.70 : x
  2. Step 2: Convert to fraction form
    102,003.90/153,005.85 = 101,420.70/x
  3. Step 3: Cross multiply
    102,003.90x = 153,005.85 × 101,420.70
  4. Step 4: Simplify right side
    102,003.90x = 15,517,960,411.10
  5. Step 5: Solve for x
    x = 15,517,960,411.10/102,003.90
  6. Step 6: Final answer
    x = 152,131.05

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1.5x scale

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.