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Finding the Fourth Proportional to 134,424.42, 185,484 and 77,053.20

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Solution

The fourth proportional to 134,424.42, 185,484 and 77,053.20 is: 106,320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,424.42 : 185,484 = 77,053.20 : x
  2. Step 2: Convert to fraction form
    134,424.42/185,484 = 77,053.20/x
  3. Step 3: Cross multiply
    134,424.42x = 185,484 × 77,053.20
  4. Step 4: Simplify right side
    134,424.42x = 14,292,135,748.80
  5. Step 5: Solve for x
    x = 14,292,135,748.80/134,424.42
  6. Step 6: Final answer
    x = 106,320.98

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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.