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Finding the Fourth Proportional to 259,988.16, 358,784.32 and 140,756.16

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Solution

The fourth proportional to 259,988.16, 358,784.32 and 140,756.16 is: 194,243.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,988.16 : 358,784.32 = 140,756.16 : x
  2. Step 2: Convert to fraction form
    259,988.16/358,784.32 = 140,756.16/x
  3. Step 3: Cross multiply
    259,988.16x = 358,784.32 × 140,756.16
  4. Step 4: Simplify right side
    259,988.16x = 50,501,103,151.41
  5. Step 5: Solve for x
    x = 50,501,103,151.41/259,988.16
  6. Step 6: Final answer
    x = 194,243.86

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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.