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Finding the Fourth Proportional to 77,859, 116,862.34 and 48,187.08

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Solution

The fourth proportional to 77,859, 116,862.34 and 48,187.08 is: 72,326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,859 : 116,862.34 = 48,187.08 : x
  2. Step 2: Convert to fraction form
    77,859/116,862.34 = 48,187.08/x
  3. Step 3: Cross multiply
    77,859x = 116,862.34 × 48,187.08
  4. Step 4: Simplify right side
    77,859x = 5,631,254,926.57
  5. Step 5: Solve for x
    x = 5,631,254,926.57/77,859
  6. Step 6: Final answer
    x = 72,326.32

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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.