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Finding the Fourth Proportional to 142,323.40, 213,485.10 and 102,957.40

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Solution

The fourth proportional to 142,323.40, 213,485.10 and 102,957.40 is: 154,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,323.40 : 213,485.10 = 102,957.40 : x
  2. Step 2: Convert to fraction form
    142,323.40/213,485.10 = 102,957.40/x
  3. Step 3: Cross multiply
    142,323.40x = 213,485.10 × 102,957.40
  4. Step 4: Simplify right side
    142,323.40x = 21,979,870,834.74
  5. Step 5: Solve for x
    x = 21,979,870,834.74/142,323.40
  6. Step 6: Final answer
    x = 154,436.10

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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.