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Finding the Fourth Proportional to 78,120.93, 116,495.39 and 77,410.50

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Solution

The fourth proportional to 78,120.93, 116,495.39 and 77,410.50 is: 115,435.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,120.93 : 116,495.39 = 77,410.50 : x
  2. Step 2: Convert to fraction form
    78,120.93/116,495.39 = 77,410.50/x
  3. Step 3: Cross multiply
    78,120.93x = 116,495.39 × 77,410.50
  4. Step 4: Simplify right side
    78,120.93x = 9,017,966,387.60
  5. Step 5: Solve for x
    x = 9,017,966,387.60/78,120.93
  6. Step 6: Final answer
    x = 115,435.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.