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Finding the Fourth Proportional to 76,136, 114,249 and 42,430.16

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Solution

The fourth proportional to 76,136, 114,249 and 42,430.16 is: 63,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,136 : 114,249 = 42,430.16 : x
  2. Step 2: Convert to fraction form
    76,136/114,249 = 42,430.16/x
  3. Step 3: Cross multiply
    76,136x = 114,249 × 42,430.16
  4. Step 4: Simplify right side
    76,136x = 4,847,603,349.84
  5. Step 5: Solve for x
    x = 4,847,603,349.84/76,136
  6. Step 6: Final answer
    x = 63,670.32

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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.