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Finding the Fourth Proportional to 77,019.66, 106,283.34 and 43,021.40

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Solution

The fourth proportional to 77,019.66, 106,283.34 and 43,021.40 is: 59,367.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,019.66 : 106,283.34 = 43,021.40 : x
  2. Step 2: Convert to fraction form
    77,019.66/106,283.34 = 43,021.40/x
  3. Step 3: Cross multiply
    77,019.66x = 106,283.34 × 43,021.40
  4. Step 4: Simplify right side
    77,019.66x = 4,572,457,552.06
  5. Step 5: Solve for x
    x = 4,572,457,552.06/77,019.66
  6. Step 6: Final answer
    x = 59,367.41

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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.