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Finding the Fourth Proportional to 265,438.08, 398,142.72 and 107,624.16

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Solution

The fourth proportional to 265,438.08, 398,142.72 and 107,624.16 is: 161,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,438.08 : 398,142.72 = 107,624.16 : x
  2. Step 2: Convert to fraction form
    265,438.08/398,142.72 = 107,624.16/x
  3. Step 3: Cross multiply
    265,438.08x = 398,142.72 × 107,624.16
  4. Step 4: Simplify right side
    265,438.08x = 42,849,775,800.12
  5. Step 5: Solve for x
    x = 42,849,775,800.12/265,438.08
  6. Step 6: Final answer
    x = 161,430.40

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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.