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Finding the Fourth Proportional to 109,365.84, 163,931.76 and 78,106.32

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Solution

The fourth proportional to 109,365.84, 163,931.76 and 78,106.32 is: 117,075.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,365.84 : 163,931.76 = 78,106.32 : x
  2. Step 2: Convert to fraction form
    109,365.84/163,931.76 = 78,106.32/x
  3. Step 3: Cross multiply
    109,365.84x = 163,931.76 × 78,106.32
  4. Step 4: Simplify right side
    109,365.84x = 12,804,106,504.72
  5. Step 5: Solve for x
    x = 12,804,106,504.72/109,365.84
  6. Step 6: Final answer
    x = 117,075.92

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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.