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Finding the Fourth Proportional to 158,999.16, 219,422.88 and 87,381

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Solution

The fourth proportional to 158,999.16, 219,422.88 and 87,381 is: 120,588.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,999.16 : 219,422.88 = 87,381 : x
  2. Step 2: Convert to fraction form
    158,999.16/219,422.88 = 87,381/x
  3. Step 3: Cross multiply
    158,999.16x = 219,422.88 × 87,381
  4. Step 4: Simplify right side
    158,999.16x = 19,173,390,677.28
  5. Step 5: Solve for x
    x = 19,173,390,677.28/158,999.16
  6. Step 6: Final answer
    x = 120,588.00

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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.