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Finding the Fourth Proportional to 77,031.98, 115,509.08 and 37,529.90

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Solution

The fourth proportional to 77,031.98, 115,509.08 and 37,529.90 is: 56,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,031.98 : 115,509.08 = 37,529.90 : x
  2. Step 2: Convert to fraction form
    77,031.98/115,509.08 = 37,529.90/x
  3. Step 3: Cross multiply
    77,031.98x = 115,509.08 × 37,529.90
  4. Step 4: Simplify right side
    77,031.98x = 4,335,044,221.49
  5. Step 5: Solve for x
    x = 4,335,044,221.49/77,031.98
  6. Step 6: Final answer
    x = 56,275.90

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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.