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Finding the Fourth Proportional to 70,384.20, 97,130.52 and 38,553

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Solution

The fourth proportional to 70,384.20, 97,130.52 and 38,553 is: 53,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,384.20 : 97,130.52 = 38,553 : x
  2. Step 2: Convert to fraction form
    70,384.20/97,130.52 = 38,553/x
  3. Step 3: Cross multiply
    70,384.20x = 97,130.52 × 38,553
  4. Step 4: Simplify right side
    70,384.20x = 3,744,672,937.56
  5. Step 5: Solve for x
    x = 3,744,672,937.56/70,384.20
  6. Step 6: Final answer
    x = 53,203.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.