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Finding the Fourth Proportional to 142,851.70, 200,407.10 and 142,851.70

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Solution

The fourth proportional to 142,851.70, 200,407.10 and 142,851.70 is: 200,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,851.70 : 200,407.10 = 142,851.70 : x
  2. Step 2: Convert to fraction form
    142,851.70/200,407.10 = 142,851.70/x
  3. Step 3: Cross multiply
    142,851.70x = 200,407.10 × 142,851.70
  4. Step 4: Simplify right side
    142,851.70x = 28,628,494,927.07
  5. Step 5: Solve for x
    x = 28,628,494,927.07/142,851.70
  6. Step 6: Final answer
    x = 200,407.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.