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Finding the Fourth Proportional to 201,152.40, 301,728.57 and 51,392.98

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Solution

The fourth proportional to 201,152.40, 301,728.57 and 51,392.98 is: 77,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,152.40 : 301,728.57 = 51,392.98 : x
  2. Step 2: Convert to fraction form
    201,152.40/301,728.57 = 51,392.98/x
  3. Step 3: Cross multiply
    201,152.40x = 301,728.57 × 51,392.98
  4. Step 4: Simplify right side
    201,152.40x = 15,506,730,363.44
  5. Step 5: Solve for x
    x = 15,506,730,363.44/201,152.40
  6. Step 6: Final answer
    x = 77,089.46

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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.