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Finding the Fourth Proportional to 180,678, 249,335.64 and 101,190

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Solution

The fourth proportional to 180,678, 249,335.64 and 101,190 is: 139,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,678 : 249,335.64 = 101,190 : x
  2. Step 2: Convert to fraction form
    180,678/249,335.64 = 101,190/x
  3. Step 3: Cross multiply
    180,678x = 249,335.64 × 101,190
  4. Step 4: Simplify right side
    180,678x = 25,230,273,411.60
  5. Step 5: Solve for x
    x = 25,230,273,411.60/180,678
  6. Step 6: Final answer
    x = 139,642.20

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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.