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Finding the Fourth Proportional to 201,856.40, 302,420.10 and 117,547.55

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Solution

The fourth proportional to 201,856.40, 302,420.10 and 117,547.55 is: 176,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,856.40 : 302,420.10 = 117,547.55 : x
  2. Step 2: Convert to fraction form
    201,856.40/302,420.10 = 117,547.55/x
  3. Step 3: Cross multiply
    201,856.40x = 302,420.10 × 117,547.55
  4. Step 4: Simplify right side
    201,856.40x = 35,548,741,825.76
  5. Step 5: Solve for x
    x = 35,548,741,825.76/201,856.40
  6. Step 6: Final answer
    x = 176,109.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.