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Finding the Fourth Proportional to 110,143.50, 152,010.99 and 65,431.50

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Solution

The fourth proportional to 110,143.50, 152,010.99 and 65,431.50 is: 90,303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,143.50 : 152,010.99 = 65,431.50 : x
  2. Step 2: Convert to fraction form
    110,143.50/152,010.99 = 65,431.50/x
  3. Step 3: Cross multiply
    110,143.50x = 152,010.99 × 65,431.50
  4. Step 4: Simplify right side
    110,143.50x = 9,946,307,092.19
  5. Step 5: Solve for x
    x = 9,946,307,092.19/110,143.50
  6. Step 6: Final answer
    x = 90,303.17

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1.5x scale

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.