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Finding the Fourth Proportional to 85,838.16, 128,669.76 and 78,271.20

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Solution

The fourth proportional to 85,838.16, 128,669.76 and 78,271.20 is: 117,327.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,838.16 : 128,669.76 = 78,271.20 : x
  2. Step 2: Convert to fraction form
    85,838.16/128,669.76 = 78,271.20/x
  3. Step 3: Cross multiply
    85,838.16x = 128,669.76 × 78,271.20
  4. Step 4: Simplify right side
    85,838.16x = 10,071,136,518.91
  5. Step 5: Solve for x
    x = 10,071,136,518.91/85,838.16
  6. Step 6: Final answer
    x = 117,327.03

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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.