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Finding the Fourth Proportional to 180,783, 249,454.35 and 100,210.50

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Solution

The fourth proportional to 180,783, 249,454.35 and 100,210.50 is: 138,275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,783 : 249,454.35 = 100,210.50 : x
  2. Step 2: Convert to fraction form
    180,783/249,454.35 = 100,210.50/x
  3. Step 3: Cross multiply
    180,783x = 249,454.35 × 100,210.50
  4. Step 4: Simplify right side
    180,783x = 24,997,945,140.68
  5. Step 5: Solve for x
    x = 24,997,945,140.68/180,783
  6. Step 6: Final answer
    x = 138,275.97

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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.