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Finding the Fourth Proportional to 221,943, 306,288.90 and 121,347.48

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Solution

The fourth proportional to 221,943, 306,288.90 and 121,347.48 is: 167,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,943 : 306,288.90 = 121,347.48 : x
  2. Step 2: Convert to fraction form
    221,943/306,288.90 = 121,347.48/x
  3. Step 3: Cross multiply
    221,943x = 306,288.90 × 121,347.48
  4. Step 4: Simplify right side
    221,943x = 37,167,386,166.97
  5. Step 5: Solve for x
    x = 37,167,386,166.97/221,943
  6. Step 6: Final answer
    x = 167,463.66

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1.5x scale

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.