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Finding the Fourth Proportional to 260,005.86, 390,054.87 and 97,896.42

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Solution

The fourth proportional to 260,005.86, 390,054.87 and 97,896.42 is: 146,861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,005.86 : 390,054.87 = 97,896.42 : x
  2. Step 2: Convert to fraction form
    260,005.86/390,054.87 = 97,896.42/x
  3. Step 3: Cross multiply
    260,005.86x = 390,054.87 × 97,896.42
  4. Step 4: Simplify right side
    260,005.86x = 38,184,975,376.57
  5. Step 5: Solve for x
    x = 38,184,975,376.57/260,005.86
  6. Step 6: Final answer
    x = 146,861.98

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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.