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Finding the Fourth Proportional to 145,809.76, 199,905.16 and 143,152.56

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Solution

The fourth proportional to 145,809.76, 199,905.16 and 143,152.56 is: 196,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,809.76 : 199,905.16 = 143,152.56 : x
  2. Step 2: Convert to fraction form
    145,809.76/199,905.16 = 143,152.56/x
  3. Step 3: Cross multiply
    145,809.76x = 199,905.16 × 143,152.56
  4. Step 4: Simplify right side
    145,809.76x = 28,616,935,411.21
  5. Step 5: Solve for x
    x = 28,616,935,411.21/145,809.76
  6. Step 6: Final answer
    x = 196,262.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.