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Finding the Fourth Proportional to 153,115.94, 211,309.56 and 85,148.12

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Solution

The fourth proportional to 153,115.94, 211,309.56 and 85,148.12 is: 117,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,115.94 : 211,309.56 = 85,148.12 : x
  2. Step 2: Convert to fraction form
    153,115.94/211,309.56 = 85,148.12/x
  3. Step 3: Cross multiply
    153,115.94x = 211,309.56 × 85,148.12
  4. Step 4: Simplify right side
    153,115.94x = 17,992,610,715.48
  5. Step 5: Solve for x
    x = 17,992,610,715.48/153,115.94
  6. Step 6: Final answer
    x = 117,509.72

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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.