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Finding the Fourth Proportional to 145,213, 217,615.20 and 115,498.96

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Solution

The fourth proportional to 145,213, 217,615.20 and 115,498.96 is: 173,085.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,213 : 217,615.20 = 115,498.96 : x
  2. Step 2: Convert to fraction form
    145,213/217,615.20 = 115,498.96/x
  3. Step 3: Cross multiply
    145,213x = 217,615.20 × 115,498.96
  4. Step 4: Simplify right side
    145,213x = 25,134,329,280.19
  5. Step 5: Solve for x
    x = 25,134,329,280.19/145,213
  6. Step 6: Final answer
    x = 173,085.94

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1.5x scale

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.