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Finding the Fourth Proportional to 102,246.63, 153,319.01 and 64,778.16

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Solution

The fourth proportional to 102,246.63, 153,319.01 and 64,778.16 is: 97,134.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,246.63 : 153,319.01 = 64,778.16 : x
  2. Step 2: Convert to fraction form
    102,246.63/153,319.01 = 64,778.16/x
  3. Step 3: Cross multiply
    102,246.63x = 153,319.01 × 64,778.16
  4. Step 4: Simplify right side
    102,246.63x = 9,931,723,036.93
  5. Step 5: Solve for x
    x = 9,931,723,036.93/102,246.63
  6. Step 6: Final answer
    x = 97,134.97

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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.