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Finding the Fourth Proportional to 101,421.72, 139,956.66 and 56,098.98

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Solution

The fourth proportional to 101,421.72, 139,956.66 and 56,098.98 is: 77,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,421.72 : 139,956.66 = 56,098.98 : x
  2. Step 2: Convert to fraction form
    101,421.72/139,956.66 = 56,098.98/x
  3. Step 3: Cross multiply
    101,421.72x = 139,956.66 × 56,098.98
  4. Step 4: Simplify right side
    101,421.72x = 7,851,425,870.21
  5. Step 5: Solve for x
    x = 7,851,425,870.21/101,421.72
  6. Step 6: Final answer
    x = 77,413.65

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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.