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Finding the Fourth Proportional to 86,762.40, 130,078.16 and 47,353.12

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Solution

The fourth proportional to 86,762.40, 130,078.16 and 47,353.12 is: 70,993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,762.40 : 130,078.16 = 47,353.12 : x
  2. Step 2: Convert to fraction form
    86,762.40/130,078.16 = 47,353.12/x
  3. Step 3: Cross multiply
    86,762.40x = 130,078.16 × 47,353.12
  4. Step 4: Simplify right side
    86,762.40x = 6,159,606,719.86
  5. Step 5: Solve for x
    x = 6,159,606,719.86/86,762.40
  6. Step 6: Final answer
    x = 70,993.96

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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.