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Finding the Fourth Proportional to 180,978.39, 249,750.36 and 105,541.47

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Solution

The fourth proportional to 180,978.39, 249,750.36 and 105,541.47 is: 145,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,978.39 : 249,750.36 = 105,541.47 : x
  2. Step 2: Convert to fraction form
    180,978.39/249,750.36 = 105,541.47/x
  3. Step 3: Cross multiply
    180,978.39x = 249,750.36 × 105,541.47
  4. Step 4: Simplify right side
    180,978.39x = 26,359,020,127.43
  5. Step 5: Solve for x
    x = 26,359,020,127.43/180,978.39
  6. Step 6: Final answer
    x = 145,647.33

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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.