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Finding the Fourth Proportional to 145,406, 200,582.52 and 97,577.12

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Solution

The fourth proportional to 145,406, 200,582.52 and 97,577.12 is: 134,604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,406 : 200,582.52 = 97,577.12 : x
  2. Step 2: Convert to fraction form
    145,406/200,582.52 = 97,577.12/x
  3. Step 3: Cross multiply
    145,406x = 200,582.52 × 97,577.12
  4. Step 4: Simplify right side
    145,406x = 19,572,264,623.94
  5. Step 5: Solve for x
    x = 19,572,264,623.94/145,406
  6. Step 6: Final answer
    x = 134,604.24

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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.