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Finding the Fourth Proportional to 153,095.63, 211,279.16 and 85,113.72

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Solution

The fourth proportional to 153,095.63, 211,279.16 and 85,113.72 is: 117,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,095.63 : 211,279.16 = 85,113.72 : x
  2. Step 2: Convert to fraction form
    153,095.63/211,279.16 = 85,113.72/x
  3. Step 3: Cross multiply
    153,095.63x = 211,279.16 × 85,113.72
  4. Step 4: Simplify right side
    153,095.63x = 17,982,755,478.86
  5. Step 5: Solve for x
    x = 17,982,755,478.86/153,095.63
  6. Step 6: Final answer
    x = 117,460.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.