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Finding the Fourth Proportional to 74,136, 102,308.06 and 40,602

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Solution

The fourth proportional to 74,136, 102,308.06 and 40,602 is: 56,030.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,136 : 102,308.06 = 40,602 : x
  2. Step 2: Convert to fraction form
    74,136/102,308.06 = 40,602/x
  3. Step 3: Cross multiply
    74,136x = 102,308.06 × 40,602
  4. Step 4: Simplify right side
    74,136x = 4,153,911,852.12
  5. Step 5: Solve for x
    x = 4,153,911,852.12/74,136
  6. Step 6: Final answer
    x = 56,030.97

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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.