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Finding the Fourth Proportional to 201,543.40, 302,315.33 and 51,784.93

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Solution

The fourth proportional to 201,543.40, 302,315.33 and 51,784.93 is: 77,677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,543.40 : 302,315.33 = 51,784.93 : x
  2. Step 2: Convert to fraction form
    201,543.40/302,315.33 = 51,784.93/x
  3. Step 3: Cross multiply
    201,543.40x = 302,315.33 × 51,784.93
  4. Step 4: Simplify right side
    201,543.40x = 15,655,378,201.98
  5. Step 5: Solve for x
    x = 15,655,378,201.98/201,543.40
  6. Step 6: Final answer
    x = 77,677.45

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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.