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Finding the Fourth Proportional to 145,844, 201,264.80 and 78,776

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Solution

The fourth proportional to 145,844, 201,264.80 and 78,776 is: 108,710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,844 : 201,264.80 = 78,776 : x
  2. Step 2: Convert to fraction form
    145,844/201,264.80 = 78,776/x
  3. Step 3: Cross multiply
    145,844x = 201,264.80 × 78,776
  4. Step 4: Simplify right side
    145,844x = 15,854,835,884.80
  5. Step 5: Solve for x
    x = 15,854,835,884.80/145,844
  6. Step 6: Final answer
    x = 108,710.92

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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.