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Finding the Fourth Proportional to 152,820.80, 228,712.80 and 134,158.40

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Solution

The fourth proportional to 152,820.80, 228,712.80 and 134,158.40 is: 200,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,820.80 : 228,712.80 = 134,158.40 : x
  2. Step 2: Convert to fraction form
    152,820.80/228,712.80 = 134,158.40/x
  3. Step 3: Cross multiply
    152,820.80x = 228,712.80 × 134,158.40
  4. Step 4: Simplify right side
    152,820.80x = 30,683,743,307.52
  5. Step 5: Solve for x
    x = 30,683,743,307.52/152,820.80
  6. Step 6: Final answer
    x = 200,782.51

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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.