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Finding the Fourth Proportional to 181,078.34, 249,883.44 and 100,503.50

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Solution

The fourth proportional to 181,078.34, 249,883.44 and 100,503.50 is: 138,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,078.34 : 249,883.44 = 100,503.50 : x
  2. Step 2: Convert to fraction form
    181,078.34/249,883.44 = 100,503.50/x
  3. Step 3: Cross multiply
    181,078.34x = 249,883.44 × 100,503.50
  4. Step 4: Simplify right side
    181,078.34x = 25,114,160,312.04
  5. Step 5: Solve for x
    x = 25,114,160,312.04/181,078.34
  6. Step 6: Final answer
    x = 138,692.24

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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.