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Finding the Fourth Proportional to 77,772.48, 116,483.64 and 54,502.80

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Solution

The fourth proportional to 77,772.48, 116,483.64 and 54,502.80 is: 81,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,772.48 : 116,483.64 = 54,502.80 : x
  2. Step 2: Convert to fraction form
    77,772.48/116,483.64 = 54,502.80/x
  3. Step 3: Cross multiply
    77,772.48x = 116,483.64 × 54,502.80
  4. Step 4: Simplify right side
    77,772.48x = 6,348,684,534.19
  5. Step 5: Solve for x
    x = 6,348,684,534.19/77,772.48
  6. Step 6: Final answer
    x = 81,631.50

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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.