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Finding the Fourth Proportional to 72,389.16, 99,945.70 and 45,206.57

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Solution

The fourth proportional to 72,389.16, 99,945.70 and 45,206.57 is: 62,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,389.16 : 99,945.70 = 45,206.57 : x
  2. Step 2: Convert to fraction form
    72,389.16/99,945.70 = 45,206.57/x
  3. Step 3: Cross multiply
    72,389.16x = 99,945.70 × 45,206.57
  4. Step 4: Simplify right side
    72,389.16x = 4,518,202,420.10
  5. Step 5: Solve for x
    x = 4,518,202,420.10/72,389.16
  6. Step 6: Final answer
    x = 62,415.46

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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.