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Finding the Fourth Proportional to 130,946.63, 180,706.34 and 74,358

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Solution

The fourth proportional to 130,946.63, 180,706.34 and 74,358 is: 102,614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,946.63 : 180,706.34 = 74,358 : x
  2. Step 2: Convert to fraction form
    130,946.63/180,706.34 = 74,358/x
  3. Step 3: Cross multiply
    130,946.63x = 180,706.34 × 74,358
  4. Step 4: Simplify right side
    130,946.63x = 13,436,962,215.62
  5. Step 5: Solve for x
    x = 13,436,962,215.62/130,946.63
  6. Step 6: Final answer
    x = 102,614.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.