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Finding the Fourth Proportional to 105,376.86, 145,379.34 and 65,020.50

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Solution

The fourth proportional to 105,376.86, 145,379.34 and 65,020.50 is: 89,703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,376.86 : 145,379.34 = 65,020.50 : x
  2. Step 2: Convert to fraction form
    105,376.86/145,379.34 = 65,020.50/x
  3. Step 3: Cross multiply
    105,376.86x = 145,379.34 × 65,020.50
  4. Step 4: Simplify right side
    105,376.86x = 9,452,637,376.47
  5. Step 5: Solve for x
    x = 9,452,637,376.47/105,376.86
  6. Step 6: Final answer
    x = 89,703.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.