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Finding the Fourth Proportional to 158,566, 218,827.70 and 86,948.77

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Solution

The fourth proportional to 158,566, 218,827.70 and 86,948.77 is: 119,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,566 : 218,827.70 = 86,948.77 : x
  2. Step 2: Convert to fraction form
    158,566/218,827.70 = 86,948.77/x
  3. Step 3: Cross multiply
    158,566x = 218,827.70 × 86,948.77
  4. Step 4: Simplify right side
    158,566x = 19,026,799,356.93
  5. Step 5: Solve for x
    x = 19,026,799,356.93/158,566
  6. Step 6: Final answer
    x = 119,992.93

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1.5x scale

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.