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Finding the Fourth Proportional to 145,143, 217,510.32 and 115,428.96

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Solution

The fourth proportional to 145,143, 217,510.32 and 115,428.96 is: 172,981.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,143 : 217,510.32 = 115,428.96 : x
  2. Step 2: Convert to fraction form
    145,143/217,510.32 = 115,428.96/x
  3. Step 3: Cross multiply
    145,143x = 217,510.32 × 115,428.96
  4. Step 4: Simplify right side
    145,143x = 25,106,990,026.87
  5. Step 5: Solve for x
    x = 25,106,990,026.87/145,143
  6. Step 6: Final answer
    x = 172,981.06

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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.