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Finding the Fourth Proportional to 152,411.78, 210,430.94 and 95,138.30

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Solution

The fourth proportional to 152,411.78, 210,430.94 and 95,138.30 is: 131,354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,411.78 : 210,430.94 = 95,138.30 : x
  2. Step 2: Convert to fraction form
    152,411.78/210,430.94 = 95,138.30/x
  3. Step 3: Cross multiply
    152,411.78x = 210,430.94 × 95,138.30
  4. Step 4: Simplify right side
    152,411.78x = 20,020,041,899.00
  5. Step 5: Solve for x
    x = 20,020,041,899.00/152,411.78
  6. Step 6: Final answer
    x = 131,354.95

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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.