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Finding the Fourth Proportional to 120,384.61, 166,075.64 and 77,956.81

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Solution

The fourth proportional to 120,384.61, 166,075.64 and 77,956.81 is: 107,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,384.61 : 166,075.64 = 77,956.81 : x
  2. Step 2: Convert to fraction form
    120,384.61/166,075.64 = 77,956.81/x
  3. Step 3: Cross multiply
    120,384.61x = 166,075.64 × 77,956.81
  4. Step 4: Simplify right side
    120,384.61x = 12,946,727,113.11
  5. Step 5: Solve for x
    x = 12,946,727,113.11/120,384.61
  6. Step 6: Final answer
    x = 107,544.70

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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.