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Finding the Fourth Proportional to 130,219, 179,702.22 and 70,603

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Solution

The fourth proportional to 130,219, 179,702.22 and 70,603 is: 97,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,219 : 179,702.22 = 70,603 : x
  2. Step 2: Convert to fraction form
    130,219/179,702.22 = 70,603/x
  3. Step 3: Cross multiply
    130,219x = 179,702.22 × 70,603
  4. Step 4: Simplify right side
    130,219x = 12,687,515,838.66
  5. Step 5: Solve for x
    x = 12,687,515,838.66/130,219
  6. Step 6: Final answer
    x = 97,432.14

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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.