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Finding the Fourth Proportional to 212,036.73, 318,070.53 and 78,916.94

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Solution

The fourth proportional to 212,036.73, 318,070.53 and 78,916.94 is: 118,381.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,036.73 : 318,070.53 = 78,916.94 : x
  2. Step 2: Convert to fraction form
    212,036.73/318,070.53 = 78,916.94/x
  3. Step 3: Cross multiply
    212,036.73x = 318,070.53 × 78,916.94
  4. Step 4: Simplify right side
    212,036.73x = 25,101,152,534.19
  5. Step 5: Solve for x
    x = 25,101,152,534.19/212,036.73
  6. Step 6: Final answer
    x = 118,381.15

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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.