Home / 51,430.51-77,075.70-31,447

Finding the Fourth Proportional to 51,430.51, 77,075.70 and 31,447

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Solution

The fourth proportional to 51,430.51, 77,075.70 and 31,447 is: 47,127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,430.51 : 77,075.70 = 31,447 : x
  2. Step 2: Convert to fraction form
    51,430.51/77,075.70 = 31,447/x
  3. Step 3: Cross multiply
    51,430.51x = 77,075.70 × 31,447
  4. Step 4: Simplify right side
    51,430.51x = 2,423,799,537.90
  5. Step 5: Solve for x
    x = 2,423,799,537.90/51,430.51
  6. Step 6: Final answer
    x = 47,127.66

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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.