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Finding the Fourth Proportional to 142,053.18, 213,114.45 and 47,283.18

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Solution

The fourth proportional to 142,053.18, 213,114.45 and 47,283.18 is: 70,936.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,053.18 : 213,114.45 = 47,283.18 : x
  2. Step 2: Convert to fraction form
    142,053.18/213,114.45 = 47,283.18/x
  3. Step 3: Cross multiply
    142,053.18x = 213,114.45 × 47,283.18
  4. Step 4: Simplify right side
    142,053.18x = 10,076,728,899.95
  5. Step 5: Solve for x
    x = 10,076,728,899.95/142,053.18
  6. Step 6: Final answer
    x = 70,936.31

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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.