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Finding the Fourth Proportional to 103,425, 142,726.50 and 56,321

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Solution

The fourth proportional to 103,425, 142,726.50 and 56,321 is: 77,722.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,425 : 142,726.50 = 56,321 : x
  2. Step 2: Convert to fraction form
    103,425/142,726.50 = 56,321/x
  3. Step 3: Cross multiply
    103,425x = 142,726.50 × 56,321
  4. Step 4: Simplify right side
    103,425x = 8,038,499,206.50
  5. Step 5: Solve for x
    x = 8,038,499,206.50/103,425
  6. Step 6: Final answer
    x = 77,722.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.