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Finding the Fourth Proportional to 91,214, 125,875.32 and 51,470

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Solution

The fourth proportional to 91,214, 125,875.32 and 51,470 is: 71,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,214 : 125,875.32 = 51,470 : x
  2. Step 2: Convert to fraction form
    91,214/125,875.32 = 51,470/x
  3. Step 3: Cross multiply
    91,214x = 125,875.32 × 51,470
  4. Step 4: Simplify right side
    91,214x = 6,478,802,720.40
  5. Step 5: Solve for x
    x = 6,478,802,720.40/91,214
  6. Step 6: Final answer
    x = 71,028.60

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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.