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Finding the Fourth Proportional to 76,038.16, 114,039.52 and 28,657.98

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Solution

The fourth proportional to 76,038.16, 114,039.52 and 28,657.98 is: 42,980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,038.16 : 114,039.52 = 28,657.98 : x
  2. Step 2: Convert to fraction form
    76,038.16/114,039.52 = 28,657.98/x
  3. Step 3: Cross multiply
    76,038.16x = 114,039.52 × 28,657.98
  4. Step 4: Simplify right side
    76,038.16x = 3,268,141,971.59
  5. Step 5: Solve for x
    x = 3,268,141,971.59/76,038.16
  6. Step 6: Final answer
    x = 42,980.29

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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.