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Finding the Fourth Proportional to 144,059.40, 215,894.70 and 102,457.80

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Solution

The fourth proportional to 144,059.40, 215,894.70 and 102,457.80 is: 153,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,059.40 : 215,894.70 = 102,457.80 : x
  2. Step 2: Convert to fraction form
    144,059.40/215,894.70 = 102,457.80/x
  3. Step 3: Cross multiply
    144,059.40x = 215,894.70 × 102,457.80
  4. Step 4: Simplify right side
    144,059.40x = 22,120,095,993.66
  5. Step 5: Solve for x
    x = 22,120,095,993.66/144,059.40
  6. Step 6: Final answer
    x = 153,548.44

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1.5x scale

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.