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Finding the Fourth Proportional to 145,021.10, 217,531.65 and 105,655.10

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Solution

The fourth proportional to 145,021.10, 217,531.65 and 105,655.10 is: 158,482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,021.10 : 217,531.65 = 105,655.10 : x
  2. Step 2: Convert to fraction form
    145,021.10/217,531.65 = 105,655.10/x
  3. Step 3: Cross multiply
    145,021.10x = 217,531.65 × 105,655.10
  4. Step 4: Simplify right side
    145,021.10x = 22,983,328,233.92
  5. Step 5: Solve for x
    x = 22,983,328,233.92/145,021.10
  6. Step 6: Final answer
    x = 158,482.65

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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.