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Finding the Fourth Proportional to 165,985.80, 249,059.70 and 77,193.60

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Solution

The fourth proportional to 165,985.80, 249,059.70 and 77,193.60 is: 115,828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,985.80 : 249,059.70 = 77,193.60 : x
  2. Step 2: Convert to fraction form
    165,985.80/249,059.70 = 77,193.60/x
  3. Step 3: Cross multiply
    165,985.80x = 249,059.70 × 77,193.60
  4. Step 4: Simplify right side
    165,985.80x = 19,225,814,857.92
  5. Step 5: Solve for x
    x = 19,225,814,857.92/165,985.80
  6. Step 6: Final answer
    x = 115,828.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.