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Finding the Fourth Proportional to 154,411.54, 213,070.02 and 86,432.32

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Solution

The fourth proportional to 154,411.54, 213,070.02 and 86,432.32 is: 119,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,411.54 : 213,070.02 = 86,432.32 : x
  2. Step 2: Convert to fraction form
    154,411.54/213,070.02 = 86,432.32/x
  3. Step 3: Cross multiply
    154,411.54x = 213,070.02 × 86,432.32
  4. Step 4: Simplify right side
    154,411.54x = 18,416,136,151.05
  5. Step 5: Solve for x
    x = 18,416,136,151.05/154,411.54
  6. Step 6: Final answer
    x = 119,266.58

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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.