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Finding the Fourth Proportional to 145,886.02, 201,322.74 and 78,818.02

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Solution

The fourth proportional to 145,886.02, 201,322.74 and 78,818.02 is: 108,768.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,886.02 : 201,322.74 = 78,818.02 : x
  2. Step 2: Convert to fraction form
    145,886.02/201,322.74 = 78,818.02/x
  3. Step 3: Cross multiply
    145,886.02x = 201,322.74 × 78,818.02
  4. Step 4: Simplify right side
    145,886.02x = 15,867,859,747.77
  5. Step 5: Solve for x
    x = 15,867,859,747.77/145,886.02
  6. Step 6: Final answer
    x = 108,768.89

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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.