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Finding the Fourth Proportional to 83,670.64, 115,465.68 and 45,947.32

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Solution

The fourth proportional to 83,670.64, 115,465.68 and 45,947.32 is: 63,407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,670.64 : 115,465.68 = 45,947.32 : x
  2. Step 2: Convert to fraction form
    83,670.64/115,465.68 = 45,947.32/x
  3. Step 3: Cross multiply
    83,670.64x = 115,465.68 × 45,947.32
  4. Step 4: Simplify right side
    83,670.64x = 5,305,338,547.98
  5. Step 5: Solve for x
    x = 5,305,338,547.98/83,670.64
  6. Step 6: Final answer
    x = 63,407.41

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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.