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Finding the Fourth Proportional to 180,871.56, 249,315.12 and 142,569

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Solution

The fourth proportional to 180,871.56, 249,315.12 and 142,569 is: 196,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,871.56 : 249,315.12 = 142,569 : x
  2. Step 2: Convert to fraction form
    180,871.56/249,315.12 = 142,569/x
  3. Step 3: Cross multiply
    180,871.56x = 249,315.12 × 142,569
  4. Step 4: Simplify right side
    180,871.56x = 35,544,607,343.28
  5. Step 5: Solve for x
    x = 35,544,607,343.28/180,871.56
  6. Step 6: Final answer
    x = 196,518.50

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1.5x scale

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.