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Finding the Fourth Proportional to 145,814.39, 201,223.87 and 78,746.39

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Solution

The fourth proportional to 145,814.39, 201,223.87 and 78,746.39 is: 108,670.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,814.39 : 201,223.87 = 78,746.39 : x
  2. Step 2: Convert to fraction form
    145,814.39/201,223.87 = 78,746.39/x
  3. Step 3: Cross multiply
    145,814.39x = 201,223.87 × 78,746.39
  4. Step 4: Simplify right side
    145,814.39x = 15,845,653,344.33
  5. Step 5: Solve for x
    x = 15,845,653,344.33/145,814.39
  6. Step 6: Final answer
    x = 108,670.02

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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.