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Finding the Fourth Proportional to 201,748.34, 278,413.53 and 115,710.63

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Solution

The fourth proportional to 201,748.34, 278,413.53 and 115,710.63 is: 159,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,748.34 : 278,413.53 = 115,710.63 : x
  2. Step 2: Convert to fraction form
    201,748.34/278,413.53 = 115,710.63/x
  3. Step 3: Cross multiply
    201,748.34x = 278,413.53 × 115,710.63
  4. Step 4: Simplify right side
    201,748.34x = 32,215,404,956.82
  5. Step 5: Solve for x
    x = 32,215,404,956.82/201,748.34
  6. Step 6: Final answer
    x = 159,681.14

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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.