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Finding the Fourth Proportional to 113,709, 156,921.66 and 63,411.24

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Solution

The fourth proportional to 113,709, 156,921.66 and 63,411.24 is: 87,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,709 : 156,921.66 = 63,411.24 : x
  2. Step 2: Convert to fraction form
    113,709/156,921.66 = 63,411.24/x
  3. Step 3: Cross multiply
    113,709x = 156,921.66 × 63,411.24
  4. Step 4: Simplify right side
    113,709x = 9,950,597,043.46
  5. Step 5: Solve for x
    x = 9,950,597,043.46/113,709
  6. Step 6: Final answer
    x = 87,509.32

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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.