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Finding the Fourth Proportional to 153,898.68, 212,390.86 and 85,929

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Solution

The fourth proportional to 153,898.68, 212,390.86 and 85,929 is: 118,587.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,898.68 : 212,390.86 = 85,929 : x
  2. Step 2: Convert to fraction form
    153,898.68/212,390.86 = 85,929/x
  3. Step 3: Cross multiply
    153,898.68x = 212,390.86 × 85,929
  4. Step 4: Simplify right side
    153,898.68x = 18,250,534,208.94
  5. Step 5: Solve for x
    x = 18,250,534,208.94/153,898.68
  6. Step 6: Final answer
    x = 118,587.98

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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.