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Finding the Fourth Proportional to 77,218.06, 106,505.99 and 70,865.16

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Solution

The fourth proportional to 77,218.06, 106,505.99 and 70,865.16 is: 97,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,218.06 : 106,505.99 = 70,865.16 : x
  2. Step 2: Convert to fraction form
    77,218.06/106,505.99 = 70,865.16/x
  3. Step 3: Cross multiply
    77,218.06x = 106,505.99 × 70,865.16
  4. Step 4: Simplify right side
    77,218.06x = 7,547,564,133.43
  5. Step 5: Solve for x
    x = 7,547,564,133.43/77,218.06
  6. Step 6: Final answer
    x = 97,743.51

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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.