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Finding the Fourth Proportional to 77,659.85, 107,206.70 and 58,547.40

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Solution

The fourth proportional to 77,659.85, 107,206.70 and 58,547.40 is: 80,822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,659.85 : 107,206.70 = 58,547.40 : x
  2. Step 2: Convert to fraction form
    77,659.85/107,206.70 = 58,547.40/x
  3. Step 3: Cross multiply
    77,659.85x = 107,206.70 × 58,547.40
  4. Step 4: Simplify right side
    77,659.85x = 6,276,673,157.91
  5. Step 5: Solve for x
    x = 6,276,673,157.91/77,659.85
  6. Step 6: Final answer
    x = 80,822.63

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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.