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Finding the Fourth Proportional to 152,980.40, 211,106.12 and 85,002.17

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Solution

The fourth proportional to 152,980.40, 211,106.12 and 85,002.17 is: 117,299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,980.40 : 211,106.12 = 85,002.17 : x
  2. Step 2: Convert to fraction form
    152,980.40/211,106.12 = 85,002.17/x
  3. Step 3: Cross multiply
    152,980.40x = 211,106.12 × 85,002.17
  4. Step 4: Simplify right side
    152,980.40x = 17,944,476,819.74
  5. Step 5: Solve for x
    x = 17,944,476,819.74/152,980.40
  6. Step 6: Final answer
    x = 117,299.19

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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.