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Finding the Fourth Proportional to 201,602.10, 302,439.60 and 101,510.40

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Solution

The fourth proportional to 201,602.10, 302,439.60 and 101,510.40 is: 152,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,602.10 : 302,439.60 = 101,510.40 : x
  2. Step 2: Convert to fraction form
    201,602.10/302,439.60 = 101,510.40/x
  3. Step 3: Cross multiply
    201,602.10x = 302,439.60 × 101,510.40
  4. Step 4: Simplify right side
    201,602.10x = 30,700,764,771.84
  5. Step 5: Solve for x
    x = 30,700,764,771.84/201,602.10
  6. Step 6: Final answer
    x = 152,283.95

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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.