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Finding the Fourth Proportional to 145,365.40, 200,484.21 and 102,487.78

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Solution

The fourth proportional to 145,365.40, 200,484.21 and 102,487.78 is: 141,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,365.40 : 200,484.21 = 102,487.78 : x
  2. Step 2: Convert to fraction form
    145,365.40/200,484.21 = 102,487.78/x
  3. Step 3: Cross multiply
    145,365.40x = 200,484.21 × 102,487.78
  4. Step 4: Simplify right side
    145,365.40x = 20,547,181,607.95
  5. Step 5: Solve for x
    x = 20,547,181,607.95/145,365.40
  6. Step 6: Final answer
    x = 141,348.50

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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.