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Finding the Fourth Proportional to 158,594.78, 218,862.99 and 86,970.08

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Solution

The fourth proportional to 158,594.78, 218,862.99 and 86,970.08 is: 120,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,594.78 : 218,862.99 = 86,970.08 : x
  2. Step 2: Convert to fraction form
    158,594.78/218,862.99 = 86,970.08/x
  3. Step 3: Cross multiply
    158,594.78x = 218,862.99 × 86,970.08
  4. Step 4: Simplify right side
    158,594.78x = 19,034,531,749.34
  5. Step 5: Solve for x
    x = 19,034,531,749.34/158,594.78
  6. Step 6: Final answer
    x = 120,019.91

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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.