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Finding the Fourth Proportional to 86,894.78, 130,426.30 and 41,947.70

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Solution

The fourth proportional to 86,894.78, 130,426.30 and 41,947.70 is: 62,962.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,894.78 : 130,426.30 = 41,947.70 : x
  2. Step 2: Convert to fraction form
    86,894.78/130,426.30 = 41,947.70/x
  3. Step 3: Cross multiply
    86,894.78x = 130,426.30 × 41,947.70
  4. Step 4: Simplify right side
    86,894.78x = 5,471,082,547.51
  5. Step 5: Solve for x
    x = 5,471,082,547.51/86,894.78
  6. Step 6: Final answer
    x = 62,962.16

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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.