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Finding the Fourth Proportional to 86,916.42, 130,374.63 and 47,452

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Solution

The fourth proportional to 86,916.42, 130,374.63 and 47,452 is: 71,178

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,916.42 : 130,374.63 = 47,452 : x
  2. Step 2: Convert to fraction form
    86,916.42/130,374.63 = 47,452/x
  3. Step 3: Cross multiply
    86,916.42x = 130,374.63 × 47,452
  4. Step 4: Simplify right side
    86,916.42x = 6,186,536,942.76
  5. Step 5: Solve for x
    x = 6,186,536,942.76/86,916.42
  6. Step 6: Final answer
    x = 71,178

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.