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Finding the Fourth Proportional to 129,706, 178,994.28 and 70,090

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Solution

The fourth proportional to 129,706, 178,994.28 and 70,090 is: 96,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,706 : 178,994.28 = 70,090 : x
  2. Step 2: Convert to fraction form
    129,706/178,994.28 = 70,090/x
  3. Step 3: Cross multiply
    129,706x = 178,994.28 × 70,090
  4. Step 4: Simplify right side
    129,706x = 12,545,709,085.20
  5. Step 5: Solve for x
    x = 12,545,709,085.20/129,706
  6. Step 6: Final answer
    x = 96,724.20

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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.