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Finding the Fourth Proportional to 102,015.72, 153,064.08 and 45,840.60

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Solution

The fourth proportional to 102,015.72, 153,064.08 and 45,840.60 is: 68,779.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,015.72 : 153,064.08 = 45,840.60 : x
  2. Step 2: Convert to fraction form
    102,015.72/153,064.08 = 45,840.60/x
  3. Step 3: Cross multiply
    102,015.72x = 153,064.08 × 45,840.60
  4. Step 4: Simplify right side
    102,015.72x = 7,016,549,265.65
  5. Step 5: Solve for x
    x = 7,016,549,265.65/102,015.72
  6. Step 6: Final answer
    x = 68,779.10

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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.