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Finding the Fourth Proportional to 180,970.95, 249,737.72 and 100,396.47

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Solution

The fourth proportional to 180,970.95, 249,737.72 and 100,396.47 is: 138,545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,970.95 : 249,737.72 = 100,396.47 : x
  2. Step 2: Convert to fraction form
    180,970.95/249,737.72 = 100,396.47/x
  3. Step 3: Cross multiply
    180,970.95x = 249,737.72 × 100,396.47
  4. Step 4: Simplify right side
    180,970.95x = 25,072,785,011.87
  5. Step 5: Solve for x
    x = 25,072,785,011.87/180,970.95
  6. Step 6: Final answer
    x = 138,545.91

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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.