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Finding the Fourth Proportional to 75,312, 112,931.60 and 43,730

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Solution

The fourth proportional to 75,312, 112,931.60 and 43,730 is: 65,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,312 : 112,931.60 = 43,730 : x
  2. Step 2: Convert to fraction form
    75,312/112,931.60 = 43,730/x
  3. Step 3: Cross multiply
    75,312x = 112,931.60 × 43,730
  4. Step 4: Simplify right side
    75,312x = 4,938,498,868
  5. Step 5: Solve for x
    x = 4,938,498,868/75,312
  6. Step 6: Final answer
    x = 65,573.86

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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.