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Finding the Fourth Proportional to 77,875.80, 116,943.30 and 42,840.60

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Solution

The fourth proportional to 77,875.80, 116,943.30 and 42,840.60 is: 64,332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,875.80 : 116,943.30 = 42,840.60 : x
  2. Step 2: Convert to fraction form
    77,875.80/116,943.30 = 42,840.60/x
  3. Step 3: Cross multiply
    77,875.80x = 116,943.30 × 42,840.60
  4. Step 4: Simplify right side
    77,875.80x = 5,009,921,137.98
  5. Step 5: Solve for x
    x = 5,009,921,137.98/77,875.80
  6. Step 6: Final answer
    x = 64,332.19

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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.