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Finding the Fourth Proportional to 142,607.79, 196,801.08 and 78,075.95

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Solution

The fourth proportional to 142,607.79, 196,801.08 and 78,075.95 is: 107,746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,607.79 : 196,801.08 = 78,075.95 : x
  2. Step 2: Convert to fraction form
    142,607.79/196,801.08 = 78,075.95/x
  3. Step 3: Cross multiply
    142,607.79x = 196,801.08 × 78,075.95
  4. Step 4: Simplify right side
    142,607.79x = 15,365,431,282.03
  5. Step 5: Solve for x
    x = 15,365,431,282.03/142,607.79
  6. Step 6: Final answer
    x = 107,746.09

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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.