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Finding the Fourth Proportional to 117,463.68, 162,034.56 and 77,184

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Solution

The fourth proportional to 117,463.68, 162,034.56 and 77,184 is: 106,471.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,463.68 : 162,034.56 = 77,184 : x
  2. Step 2: Convert to fraction form
    117,463.68/162,034.56 = 77,184/x
  3. Step 3: Cross multiply
    117,463.68x = 162,034.56 × 77,184
  4. Step 4: Simplify right side
    117,463.68x = 12,506,475,479.04
  5. Step 5: Solve for x
    x = 12,506,475,479.04/117,463.68
  6. Step 6: Final answer
    x = 106,471.00

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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.