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Finding the Fourth Proportional to 142,483.86, 214,113.51 and 75,970.98

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Solution

The fourth proportional to 142,483.86, 214,113.51 and 75,970.98 is: 114,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,483.86 : 214,113.51 = 75,970.98 : x
  2. Step 2: Convert to fraction form
    142,483.86/214,113.51 = 75,970.98/x
  3. Step 3: Cross multiply
    142,483.86x = 214,113.51 × 75,970.98
  4. Step 4: Simplify right side
    142,483.86x = 16,266,413,185.94
  5. Step 5: Solve for x
    x = 16,266,413,185.94/142,483.86
  6. Step 6: Final answer
    x = 114,163.20

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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.