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Finding the Fourth Proportional to 76,114.64, 105,038.40 and 42,125.47

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Solution

The fourth proportional to 76,114.64, 105,038.40 and 42,125.47 is: 58,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,114.64 : 105,038.40 = 42,125.47 : x
  2. Step 2: Convert to fraction form
    76,114.64/105,038.40 = 42,125.47/x
  3. Step 3: Cross multiply
    76,114.64x = 105,038.40 × 42,125.47
  4. Step 4: Simplify right side
    76,114.64x = 4,424,791,981.38
  5. Step 5: Solve for x
    x = 4,424,791,981.38/76,114.64
  6. Step 6: Final answer
    x = 58,133.26

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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.