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Finding the Fourth Proportional to 55,430.16, 83,133.06 and 15,978.70

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Solution

The fourth proportional to 55,430.16, 83,133.06 and 15,978.70 is: 23,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,430.16 : 83,133.06 = 15,978.70 : x
  2. Step 2: Convert to fraction form
    55,430.16/83,133.06 = 15,978.70/x
  3. Step 3: Cross multiply
    55,430.16x = 83,133.06 × 15,978.70
  4. Step 4: Simplify right side
    55,430.16x = 1,328,358,225.82
  5. Step 5: Solve for x
    x = 1,328,358,225.82/55,430.16
  6. Step 6: Final answer
    x = 23,964.54

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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.