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Finding the Fourth Proportional to 86,574.32, 119,474.43 and 47,812.02

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Solution

The fourth proportional to 86,574.32, 119,474.43 and 47,812.02 is: 65,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,574.32 : 119,474.43 = 47,812.02 : x
  2. Step 2: Convert to fraction form
    86,574.32/119,474.43 = 47,812.02/x
  3. Step 3: Cross multiply
    86,574.32x = 119,474.43 × 47,812.02
  4. Step 4: Simplify right side
    86,574.32x = 5,712,313,881.37
  5. Step 5: Solve for x
    x = 5,712,313,881.37/86,574.32
  6. Step 6: Final answer
    x = 65,981.62

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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.