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Finding the Fourth Proportional to 85,465.68, 128,210.68 and 26,306.28

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Solution

The fourth proportional to 85,465.68, 128,210.68 and 26,306.28 is: 39,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,465.68 : 128,210.68 = 26,306.28 : x
  2. Step 2: Convert to fraction form
    85,465.68/128,210.68 = 26,306.28/x
  3. Step 3: Cross multiply
    85,465.68x = 128,210.68 × 26,306.28
  4. Step 4: Simplify right side
    85,465.68x = 3,372,746,047.07
  5. Step 5: Solve for x
    x = 3,372,746,047.07/85,465.68
  6. Step 6: Final answer
    x = 39,463.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.