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Finding the Fourth Proportional to 145,946.64, 201,406.32 and 78,878.64

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Solution

The fourth proportional to 145,946.64, 201,406.32 and 78,878.64 is: 108,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,946.64 : 201,406.32 = 78,878.64 : x
  2. Step 2: Convert to fraction form
    145,946.64/201,406.32 = 78,878.64/x
  3. Step 3: Cross multiply
    145,946.64x = 201,406.32 × 78,878.64
  4. Step 4: Simplify right side
    145,946.64x = 15,886,656,609.00
  5. Step 5: Solve for x
    x = 15,886,656,609.00/145,946.64
  6. Step 6: Final answer
    x = 108,852.50

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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.