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Finding the Fourth Proportional to 145,866, 201,295.26 and 78,798

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Solution

The fourth proportional to 145,866, 201,295.26 and 78,798 is: 108,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,866 : 201,295.26 = 78,798 : x
  2. Step 2: Convert to fraction form
    145,866/201,295.26 = 78,798/x
  3. Step 3: Cross multiply
    145,866x = 201,295.26 × 78,798
  4. Step 4: Simplify right side
    145,866x = 15,861,663,897.48
  5. Step 5: Solve for x
    x = 15,861,663,897.48/145,866
  6. Step 6: Final answer
    x = 108,741.34

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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.