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Finding the Fourth Proportional to 153,599.60, 211,960.64 and 85,624

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Solution

The fourth proportional to 153,599.60, 211,960.64 and 85,624 is: 118,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,599.60 : 211,960.64 = 85,624 : x
  2. Step 2: Convert to fraction form
    153,599.60/211,960.64 = 85,624/x
  3. Step 3: Cross multiply
    153,599.60x = 211,960.64 × 85,624
  4. Step 4: Simplify right side
    153,599.60x = 18,148,917,839.36
  5. Step 5: Solve for x
    x = 18,148,917,839.36/153,599.60
  6. Step 6: Final answer
    x = 118,157.32

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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.