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Finding the Fourth Proportional to 180,762.71, 249,448.20 and 100,188.50

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Solution

The fourth proportional to 180,762.71, 249,448.20 and 100,188.50 is: 138,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,762.71 : 249,448.20 = 100,188.50 : x
  2. Step 2: Convert to fraction form
    180,762.71/249,448.20 = 100,188.50/x
  3. Step 3: Cross multiply
    180,762.71x = 249,448.20 × 100,188.50
  4. Step 4: Simplify right side
    180,762.71x = 24,991,839,738.46
  5. Step 5: Solve for x
    x = 24,991,839,738.46/180,762.71
  6. Step 6: Final answer
    x = 138,257.72

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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.