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Finding the Fourth Proportional to 78,709.70, 118,093.35 and 31,967.30

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Solution

The fourth proportional to 78,709.70, 118,093.35 and 31,967.30 is: 47,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,709.70 : 118,093.35 = 31,967.30 : x
  2. Step 2: Convert to fraction form
    78,709.70/118,093.35 = 31,967.30/x
  3. Step 3: Cross multiply
    78,709.70x = 118,093.35 × 31,967.30
  4. Step 4: Simplify right side
    78,709.70x = 3,775,125,547.46
  5. Step 5: Solve for x
    x = 3,775,125,547.46/78,709.70
  6. Step 6: Final answer
    x = 47,962.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.